Possible quantum algorithm for the Lipshitz-Sarkar-Steenrod square for Khovanov homology

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dc.contributor.authorOspina, Juan
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorOspina, Juan
dc.date.accessioned2021-03-26T21:35:19Z
dc.date.available2021-03-26T21:35:19Z
dc.date.issued2013-01-01
dc.description.abstractRecently the celebrated Khovanov Homology was introduced as a target for Topological Quantum Computation given that the Khovanov Homology provides a generalization of the Jones polynomal and then it is possible to think about of a generalization of the Aharonov.-Jones-Landau algorithm. Recently, Lipshitz and Sarkar introduced a space-level refinement of Khovanov homology. which is called Khovanov Homotopy. This refinement induces a Steenrod square operation Sq?2 on Khovanov homology which they describe explicitly and then some computations of Sq?2 were presented. Particularly, examples of links with identical integral Khovanov homology but with distinct Khovanov homotopy types were showed. In the presente work we will introduce possible quantum algorithms for the Lipshitz-Sarkar-Steenrod square for Khovanov Homolog and their possible simulations using computer algebra. © 2013 SPIE.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1591
dc.identifier.doi10.1117/12.2016298
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000323339700013
dc.identifier.otherSCOPUS;2-s2.0-84881158547
dc.identifier.urihttp://hdl.handle.net/10784/27396
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84881158547&doi=10.1117%2f12.2016298&partnerID=40&md5=1d8edbad65e95f562a58887378dcf4fb
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordD-braneseng
dc.subject.keywordHomotopieseng
dc.subject.keywordKhovanov Homologyeng
dc.subject.keywordLipshitz-Sarkar-Steenrod squareeng
dc.subject.keywordQuantum invariantseng
dc.subject.keywordAlgebraeng
dc.subject.keywordQuantum computerseng
dc.subject.keywordQuantum opticseng
dc.subject.keywordTopologyeng
dc.subject.keywordQuantum theoryeng
dc.titlePossible quantum algorithm for the Lipshitz-Sarkar-Steenrod square for Khovanov homologyeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
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